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Finding the Fourth Proportional to 551,466,858.80, 827,200,288.20 and 278,802,196.40

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Solution

The fourth proportional to 551,466,858.80, 827,200,288.20 and 278,802,196.40 is: 418,203,294.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,466,858.80 : 827,200,288.20 = 278,802,196.40 : x
  2. Step 2: Convert to fraction form
    551,466,858.80/827,200,288.20 = 278,802,196.40/x
  3. Step 3: Cross multiply
    551,466,858.80x = 827,200,288.20 × 278,802,196.40
  4. Step 4: Simplify right side
    551,466,858.80x = 230,625,257,212,872,992
  5. Step 5: Solve for x
    x = 230,625,257,212,872,992/551,466,858.80
  6. Step 6: Final answer
    x = 418,203,294.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.